Hitchhiker's Guide to Courant Algebroid Relations

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F20%3A00341263" target="_blank" >RIV/68407700:21340/20:00341263 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.geomphys.2020.103635" target="_blank" >https://doi.org/10.1016/j.geomphys.2020.103635</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.geomphys.2020.103635" target="_blank" >10.1016/j.geomphys.2020.103635</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Hitchhiker's Guide to Courant Algebroid Relations

Popis výsledku v původním jazyce

Courant algebroids provide a useful mathematical tool (not only) in string theory. It is thus important to define and examine their morphisms. To some extent, this was done before using an analogue of canonical relations known from symplectic geometry. However, it turns out that applications in physics require a more general notion. We aim to provide a self-contained and detailed treatment of Courant algebroid relations and morphisms. A particular emphasis is placed on providing enough motivating examples. In particular, we show how Poisson-Lie T-duality and Kaluza-Klein reduction of supergravity can be interpreted as Courant algebroid relations compatible with generalized metrics (generalized isometries).

Název v anglickém jazyce

Hitchhiker's Guide to Courant Algebroid Relations

Popis výsledku anglicky

Courant algebroids provide a useful mathematical tool (not only) in string theory. It is thus important to define and examine their morphisms. To some extent, this was done before using an analogue of canonical relations known from symplectic geometry. However, it turns out that applications in physics require a more general notion. We aim to provide a self-contained and detailed treatment of Courant algebroid relations and morphisms. A particular emphasis is placed on providing enough motivating examples. In particular, we show how Poisson-Lie T-duality and Kaluza-Klein reduction of supergravity can be interpreted as Courant algebroid relations compatible with generalized metrics (generalized isometries).

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Geometry and Physics

ISSN

0393-0440

e-ISSN

1879-1662

Svazek periodika

151

Číslo periodika v rámci svazku

May

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

49

Strana od-do

—

Kód UT WoS článku

000528195300012

EID výsledku v databázi Scopus

2-s2.0-85081022387